Waterflooding front moving task in dual periodical area: piston-like displacement case
V. I. Astafiev, A. E. Kasatkin

References
1.	Zheltov Yu. P., Development of oil fields, schoolbook for Institutions of Higher Education, 2-nd ed., revised and enlarged, Nedra, M., 1998, 465 pp. (in Russian)
2.	Wolcott D., Development and management by minefields at waterflooding, Yukos-Schlumberger, Nefteyugansk, 2001, 144 pp. (in Russian)
3.	Whillhite G. Paul, Waterflooding, Institut komp'iuternykh issledovanii, M.–Izhevsk, 2009, 788 pp. (in Russian)
4.	Basniev K. S., Kochina I. N., Maksimov V. M., Subsurface hydromechanics, Schoolbook for Institutions of Higher Education, Nedra, M., 1993, 416 pp. (in Russian)
5.	Muskat M., The flow of homogeneous fluids through porous media, NITs “Reguliarnaia i khaoticheskaia dinamika”, M.–Izhevsk, 2004, 628 pp. (in Russian)
6.	Charny I. A., Underground fluid dynamics, Gostoptekhizdat, M., 2006, 436 pp. (in Russian)
7.	Danilov V. L., “Integrodifferential equation of movement of boundary line of two fluids in porous medium”, Proceedings of KF AS of SSSR. Ser.: physico-mathematical and technical sciences, 1957, no. 2, 99–133 (in Russian)
8.	Fazlyev R. T., “On the sudy of the process of pattern waterflooding of oil fields”, Numerical computation of filtering problems of incompressible fluid, Izd. SO AN SSSR, Novosibirsk, 1975, 289–296 (in Russian)
9.	Pilatovski V. P., “About one functional equations system for flat filtration stream”, Proceedings of All-Russian Scientific-Research Institute, 40, 1963, 138–156 (in Russian)
10.	Kasatkin A. E., “Comparative analysis of wells arrangement schemes at waterflooding”, Vestnik of Samara State University: Natural Science Series, 2013, no. 9/2(110), 197–208 (in Russian)
11.	Gerold S. P., Analytical foundations of oil, gas and water development from wells, Nefteizdat, M.–L., 1932 (in Russian)
12.	Astafiev V. I., Roters P. V., “Simulation of doubly-periodic systems of producer wells”, Vestnik of Samara State University, 2010, no. 4(78), 5–11 (in Russian)
13.	Astafiev V. I., Roters P. V., “Simulation of doubly-periodic systems of producer wells. 2: Productivity index”, Vestnik of Samara State University, 2011, no. 8(89), 118–127 (in Russian)
14.	Astafiev V. I., Roters P. V., “Modeling and optimization of mining with multiwell doubly periodic clusters”, Vestnik of Samara State University, 2013, no. 9/2(110), 170–183 (in Russian)
15.	Koiter W. T., “Some general theorems on doubly-periodic and quasi-periodic functions”, Proc. Konikl. Nederl. Akademie Wetenschappen, Amsterdam, 62:2 (1959), 120–128
16.	Craig F. F., Oil-field development at waterflooding, Nedra, M., 1974, 192 pp. (in Russian)
17.	P. Dapira et al., “Polymer Floods: A Case Study of Nonlinear Wave Analysis and of Instability Control in Tertiary Oil Recovery”, SIAM Journal on Applied Mathematics, 48:2 (1988), 353–373
18.	Chen C., Meiburg E., “Miscible porous media displacement in the quarter five-spot configuration. Part 1: The homogeneous case”, J. Fluid Mech., 371 (1998), 233–268
19.	Kornilina M. A., Samarskaia E. A., Chetverushkin B. N., Churbanova N. G., Yakobovsky M. V., “Simulation of oil fields development on the parallel computer systems”, Mathematical modeling, 7:2 (1995), 35–48 (in Russian)